Chapter 9 Quadratic Relations and Conic Sections - 9.4 Graph and Write Equations of Ellipses - 9.4 Exercises - Skill Practice - Page 637: 34

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We know the following equation for an ellipse centered at the origin: $$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$$ Where $(0,\pm a)$ is the vertex and $(\pm b,0)$ is the co-vertex. Thus, we find: $$\frac{x^2}{(-32)^2}+\frac{y^2}{(\pm 40)^2}=1$$ $$\frac{x^2}{1024}+\frac{y^2}{1600}=1$$